A Remark on the Homotopical Dimension of Some Moduli Spaces of Stable Riemann Surfaces
نویسنده
چکیده
Using a result of Harer, we prove certain upper bounds for the homotopical/cohomological dimension of the moduli spaces of Riemann surfaces of compact type, of Riemann surfaces with rational tails and of Riemann surfaces with at most k rational components. These bounds would follow from conjectures of Looijenga and Roth-
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A Remark on the Virtual Homotopical Dimension of Some Moduli Spaces of Stable Riemann Surfaces
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